MCQ
4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days, will 10 women complete it?
Options
35 days
40 days
45 days
50 days
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Solution
40 days
Explanation:
Let 1 man's 1 day's work = x
1 woman's 1 day's work= y
Then, `4x+6y=1/8and3x+7y=1/10`
On solving these two equations, we get
`x=11/400 and y=1/400`
∴ 1 woman's 1 day's work = `1/400`
⇒ 10 women's 1 day's work = `(1/400xx10)=1/40`
Hence, 10 women will complete the work in 40 days.
Concept: Time and Work (Entrance Exam)
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